Improvements to the Montel-Carathéodory Theorem for families of $\mathbb{P}^n$-valued holomorphic curves
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arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866916130164047872 |
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| author | Datt, Gopal |
| author_facet | Datt, Gopal |
| contents | In this paper, we establish various sufficient conditions for a family of holomorphic mappings on a domain $D\subseteq\mathbb{C}$ into $\mathbb{P}^n$ to be normal. Our results are improvements to the Montel-Carathéodory Theorem for a family of $\mathbb{P}^n$-valued holomorphic curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_06758 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Improvements to the Montel-Carathéodory Theorem for families of $\mathbb{P}^n$-valued holomorphic curves Datt, Gopal Complex Variables 32A19, 30D45, 32A22 In this paper, we establish various sufficient conditions for a family of holomorphic mappings on a domain $D\subseteq\mathbb{C}$ into $\mathbb{P}^n$ to be normal. Our results are improvements to the Montel-Carathéodory Theorem for a family of $\mathbb{P}^n$-valued holomorphic curves. |
| title | Improvements to the Montel-Carathéodory Theorem for families of $\mathbb{P}^n$-valued holomorphic curves |
| topic | Complex Variables 32A19, 30D45, 32A22 |
| url | https://arxiv.org/abs/2012.06758 |